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  • Conference proceedings
  • © 1989

Algebraic Topology

Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1370)

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Table of contents (38 papers)

  1. Front Matter

    Pages I-IX
  2. Topology: past, present and future

    • I. M. James
    Pages 1-9
  3. The work of Edgar H. Brown, Jr. in Topology

    • George W. Whitehead
    Pages 10-14
  4. On the complex bordism of classifying spaces

    • Martin Bendersky, Donald M. Davis
    Pages 53-56
  5. On equivariant maps and immersions of real projective spaces

    • A. J. Berrick, Duane Randall
    Pages 57-62
  6. Cogroups which are not suspensions

    • Israel Berstein, John R. Harper
    Pages 63-86
  7. Instantons and homotopy

    • Charles P. Boyer, Benjamin M. Mann
    Pages 87-102
  8. On real homotopy theory

    • Edgar H. Brown Jr., Robert H. Szczarba
    Pages 103-116
  9. Some remarks on the space Im J

    • F. R. Cohen, F. P. Peterson
    Pages 117-125
  10. A new spectrum related to 7-connected cobordism

    • Donald M. Davis, Mark Mahowald
    Pages 126-134
  11. Aspherical manifolds without smooth or PL structure

    • Michael W. Davis, Jean-Claude Hausmann
    Pages 135-142
  12. Homology with simplicial coefficients

    • W. G. Dwyer, D. M. Kan
    Pages 143-149
  13. On the double suspension

    • Brayton Gray
    Pages 150-162
  14. A whitehead product for track groups

    • KA Hardie, AV Jansen
    Pages 163-170
  15. Minimal atlases of real projective spaces

    • Michael J. Hopkins
    Pages 171-192
  16. Higher homotopy associativity

    • Norio Iwase, Mamoru Mimura
    Pages 193-220
  17. Homotopy approximations for classifying spaces of compact lie groups

    • Stefan Jackowski, James E. McClure
    Pages 221-234

About this book

These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, H-spaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism.

Keywords

  • Algebraic topology
  • Characteristic class
  • Cohomology
  • Homotopy
  • K-theory
  • homology
  • homotopy theory

Bibliographic Information

  • Book Title: Algebraic Topology

  • Book Subtitle: Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986

  • Editors: Gunnar Carlsson, Ralph Cohen, Haynes Miller, Douglas Ravenel

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0085212

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51118-2Published: 26 April 1989

  • eBook ISBN: 978-3-540-46160-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 462

  • Topics: Algebraic Topology, Category Theory, Homological Algebra

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions